Classical Dynamics of Particles and Systems · Problem 6-11

Hamilton's Principle—Lagrangian and Hamiltonian Dynamics — Marion & Thornton

Physics — Mechanics · constraint-disk-rolling-parabola

Problem

A disk of radius RR rolls without slipping inside the parabola y=ax2y = ax^2. Find the equation of constraint. Express the condition that allows the disk to roll so that it contacts the parabola at one and only one point, independent of its position.

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